788437348875960 has 256 divisors, whose sum is σ = 2731700829911040. Its totient is φ = 178323573227520.

The previous prime is 788437348875947. The next prime is 788437348875973. The reversal of 788437348875960 is 69578843734887.

It is an interprime number because it is at equal distance from previous prime (788437348875947) and next prime (788437348875973).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24775072 + ... + 46804688.

It is an arithmetic number, because the mean of its divisors is an integer number (10670706366840).

Almost surely, 2^{788437348875960} is an apocalyptic number.

788437348875960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 788437348875960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365850414955520).

788437348875960 is an abundant number, since it is smaller than the sum of its proper divisors (1943263481035080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

788437348875960 is a wasteful number, since it uses less digits than its factorization.

788437348875960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22030086 (or 22030082 counting only the distinct ones).

The product of its (nonzero) digits is 54623600640, while the sum is 87.

The spelling of 788437348875960 in words is "seven hundred eighty-eight trillion, four hundred thirty-seven billion, three hundred forty-eight million, eight hundred seventy-five thousand, nine hundred sixty".